more from Shaughan Lavine

### Single Idea 15930

#### [catalogued under 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII]

Full Idea

The Axiom of Foundation (Zermelo 1930) says 'Every (descending) chain in which each element is a member of the previous one is of finite length'. ..This forbids circles of membership, or ungrounded sets. ..The iterative conception gives this centre stage.

Gist of Idea

Foundation says descending chains are of finite length, blocking circularity, or ungrounded sets

Source

Shaughan Lavine (Understanding the Infinite [1994], V.4)

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.135